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Evaluate the function at the given values of the variable.

f(x) = x2 + 6 a. f(6) b. f(-5)

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Final answer:

To evaluate the function f(x) = x^2 + 6 at x=6 and x=-5, we substitute and find that f(6) = 42 and f(-5) = 31.

Step-by-step explanation:

The student has asked to evaluate the function f(x) = x2 + 6 for the values x=6 and x=-5. To find the value of the function at these points, we simply substitute the values into the function and simplify.

  1. For f(6), substitute x with 6: f(6) = 62 + 6 = 36 + 6 = 42.
  2. For f(-5), substitute x with -5: f(-5) = (-5)2 + 6 = 25 + 6 = 31.

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